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Finding the Fourth Proportional to 696.46, 1,048.18 and 524.02

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Solution

The fourth proportional to 696.46, 1,048.18 and 524.02 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 1,048.18 = 524.02 : x
  2. Step 2: Convert to fraction form
    696.46/1,048.18 = 524.02/x
  3. Step 3: Cross multiply
    696.46x = 1,048.18 × 524.02
  4. Step 4: Simplify right side
    696.46x = 549,267.28
  5. Step 5: Solve for x
    x = 549,267.28/696.46
  6. Step 6: Final answer
    x = 788.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.